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Finding the Third Proportional to 380,322 and 820,836

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Solution

The third proportional to 380,322 and 820,836 is: 1,771,582.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,322 : 820,836 = 820,836 : x
  2. Step 2: Convert to fraction form
    380,322/820,836 = 820,836/x
  3. Step 3: Cross multiply
    380,322x = 820,836 × 820,836
  4. Step 4: Simplify right side
    380,322x = 673,771,738,896
  5. Step 5: Solve for x
    x = 673,771,738,896/380,322
  6. Step 6: Final answer
    x = 1,771,582.34

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.